Chiral transitions in three-dimensional magnets and higher order ε-expansion

Abstract

The critical behaviour of helimagnets and stacked triangular antiferromagnets is analyzed in (4 - ε) dimensions within three-loop approximation. Numerical estimates for marginal values of the order parameter dimensionality N obtained by resummation of corresponding ε-expansions rule out the possibility of continuous chiral transitions in magnets with Heisenberg or planar spins.

arXiv comment6 pages, TeX, no figures

References in corpus (3)

• Critical exponents for 3D O(n)-symmetric model with n > 3
• Phase transitions in anisotropic superconducting and magnetic systems with vector order parameters: Three-loop renormalization-group analysis
• Tricritical behavior of the frustrated XY antiferromagnet

Cited by in corpus (42)

• The nonperturbative functional renormalization group and its applications
• Universality of phase transitions of frustrated antiferromagnets
• Nonperturbative renormalization group approach to frustrated magnets
• The critical behavior of frustrated spin models with noncollinear order
• Critical behavior of O(2)xO(N) symmetric models
• Large-n Critical Behavior of O(n)xO(m) Spin Models
• Seeking Fixed Points in Multiple Coupling Scalar Theories in the $\epsilon$ Expansion
• Monte Carlo renormalization group study of the Heisenberg and XY antiferromagnet on the stacked triangular lattice and the chiral ${\varphi }^4$ model
• Chiral phase transitions: focus driven critical behavior in systems with planar and vector ordering
• XY frustrated systems: continuous exponents in discontinuous phase transitions
• Five-loop epsilon expansion for O(n)xO(m) spin models
• About the relevance of the fixed dimension perturbative approach to frustrated magnets in two and three dimensions
• On the criticality of frustrated spin systems with noncollinear order
• A non perturbative approach of the principal chiral model between two and four dimensions
• Chiral exponents in frustrated spin models with noncollinear ordering
• Critical thermodynamics of three-dimensional chiral model for N > 3
• The normal-to-planar superfluid transition in Helium 3
• Six-loop $\epsilon$ expansion study of three-dimensional $O(n)\times O(m)$ spin models
• Chiral critical behavior in two dimensions from five-loop renormalization-group expansions
• Critical behavior of frustrated systems: Monte Carlo simulations versus Renormalization Group
• Functional renormalization group approach to non-collinear magnets
• Spin Stiffness of Stacked Triangular Antiferromagnets
• Multicritical behavior in frustrated spin systems with noncollinear order
• The critical behavior of 2-d frustrated spin models with noncollinear order
• Three-loop renormalization group analysis of a complex model with stable fixed point: Critical exponents up to ${\epsilon }^3$ and ${\epsilon }^4$
• Critical exponent omega at O(1/N) in O(N) x O(m) spin models
• Low-energy properties of two-dimensional quantum triangular antiferromagnets: Non-perturbative renormalization group approach
• Critical behavior of three-dimensional magnets with complicated ordering from three-loop renormalization-group expansions
• Fixed points in frustrated magnets revisited
• Weak first-order transition in the quasi-one-dimensional frustrated XY antiferromagnet
• Critical phenomena at the complex tensor ordering phase transition
• Critical behavior of frustrated spin systems with nonplanar orderings
• Simulating frustrated magnetism with spinor Bose gases
• The absence of Ginzburg-Landau mechanism for vestigial order in the normal phase above a two-component superconductor
• Monte Carlo study of the critical properties of noncollinear Heisenberg magnets: $O(3)\times O(2)$ universality class
• First-order phase transitions in spinor Bose gases and frustrated magnets
• Flat Energy-Histogram Simulation of the Phase Transition in an Ising Fully Frustrated Lattice
• Critical and multicritical behavior in the Ising-Heisenberg universality class
• Ising-XY Transition in Three-dimensional Frustrated Antiferromagnets with Collinear Ordering
• Superfluid phase transition of nanoscale-confined helium-3
• Critical Behavior of a General O(n)-symmetric Model of two n-Vector Fields in D=4-2 epsilon
• On the new universality class in structurally disordered $n$-vector model with long-range interactions